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Open AccessJournal ArticleDOI

A non‐Gaussian model of turbulence (soccer‐ball integrals)

Robert Betchov, +1 more
- 01 Sep 1981 - 
- Vol. 24, Iss: 9, pp 1602-1604
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TLDR
In this article, the time evolution of a nonlinearly coupled system of first-order equations representing the Euler equations was studied and the probability distribution of functions is nearly Gaussian, while that of their time derivatives has exponential tails and moments of order 4, 6, and 8 that approach those of the exponential distributions.
Abstract
The statistics of the time evolution of a nonlinearly coupled system of first‐order equations representing the Euler equations is studied. The probability distribution of functions is nearly Gaussian, while that of their time derivatives has exponential tails and moments of order 4, 6, and 8 that approach those of the exponential distributions.

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Citations
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Journal ArticleDOI

Statistical Properties of Two-Dimensional Magnetohydrodynamic Turbulence

TL;DR: In this article, the statistical properties of 2D magnetohydrodynamic (MHD) turbulence are studied by means of high-resolution numerical simulations, and the β model of intermittent turbulence is adapted to the MHD case.
DissertationDOI

Computer simulation of turbulent scalar transport with applications to chemical reaction

TL;DR: In this paper, a computer program for the direct numerical simulation of NavierStokes equations and three passive scalars in homogeneous turbulent flows is described and some tests and applications are made; the program, developed by Dr. R. M. Kerr, uses the pseudo-spectral method with timestepping in Fourier-space and Fast Fourier Transforms to enable the nonlinear terms to be evaluated in physical space.
Book ChapterDOI

Two-Point Homogeneous Turbulence

Jean Piquet
TL;DR: In this paper, the mean flow equations were solved, together with transport equations for one or two scalar quantities (like K and e) describing characteristic time and length scales of turbulence which are processed throughout the flow without requiring detailed forms adequate to a particular zone of the flow.
References
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Book

The theory of homogeneous turbulence

TL;DR: In this article, the kinematics of the field of homogeneous turbulence and the universal equilibrium theory of decay of the energy-containing eddies are discussed. But the authors focus on the dynamics of decay and not on the probability distribution of u(x).
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